Average Error: 0.0 → 0.0
Time: 389.0ms
Precision: 64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
double f(double x, double y) {
        double r38316 = x;
        double r38317 = y;
        double r38318 = r38316 - r38317;
        double r38319 = fabs(r38318);
        double r38320 = sqrt(r38319);
        return r38320;
}
↓
double f(double x, double y) {
        double r38321 = x;
        double r38322 = y;
        double r38323 = r38321 - r38322;
        double r38324 = fabs(r38323);
        double r38325 = sqrt(r38324);
        return r38325;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2020064 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))